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A bicyclist is riding on a path modeled by the function

f(x) = 0.04(8x − x2),
where x and f(x) are measured in miles. Find the rate of change of elevation at x = 1.

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1 answer
  1. f'(x) is the rate of change.
    So, assuming f(x) is the elevation (which you don't actually state),
    f'(x) = 0.04(8-2x)
    so just plug in x=1

    Note: apparently the units are miles, so f'(x) is in mi/mi.
    What does that mean?

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